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Finding the Fourth Proportional to 358,122.78, 494,209.89 and 196,978.14

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Solution

The fourth proportional to 358,122.78, 494,209.89 and 196,978.14 is: 271,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,122.78 : 494,209.89 = 196,978.14 : x
  2. Step 2: Convert to fraction form
    358,122.78/494,209.89 = 196,978.14/x
  3. Step 3: Cross multiply
    358,122.78x = 494,209.89 × 196,978.14
  4. Step 4: Simplify right side
    358,122.78x = 97,348,544,901.80
  5. Step 5: Solve for x
    x = 97,348,544,901.80/358,122.78
  6. Step 6: Final answer
    x = 271,830.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.